Median means the mid value of the given collection of data. We will learn the method of finding the Median: the median to be calculated for the given data should be first arranged in ascending order. Now we must count the number of terms in the given data.

If the number of elements in the given data is odd then

Median = ( n +1 )/2th term.

It will be more clear with the following example:

If the ages of 7 students in the class are as follows, find the median age:

16, 14, 17, 14, 15, 18, 15.

First we arrange the given data in the ascending order and get

14, 14, 15, 15, 16, 17, 18

As the number of terms is 7 which is odd so, median = (7+1)/2

^{th}term

= 8/2

^{th}term = 4

^{th}term

So median is 15.

In case the number of terms is even, we find the median as

Median =[ (n/2)

^{th}term + ( (n/2) +1)

^{th}term ] /2

We take another example to find the median of data with even number of terms.

34, 23, 56, 47, 35, 42, 36, 29

We first arrange the data in ascending order and get:

23, 29 , 34, 35, 36, 42, 47, 56. As the number of terms is even, so we first find

n/2 = 8 / 2 = 4

and n/2 + 1= 4 + 1 = 5

4

^{th}term = 36 and 5

^{th}term = 42

Sum of 4

^{th}and 5

^{th}term = 36 +42 =78

So median = 78 / 2 = 39.